Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions

Paweł Domański, and Mikael Lindström. "Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions." Annales Polonici Mathematici 79.3 (2002): 233-264. <http://eudml.org/doc/280768>.

@article{PawełDomański2002,
abstract = {We give an elementary approach which allows us to evaluate Seip's conditions characterizing interpolating and sampling sequences in weighted Bergman spaces of infinite order for a wide class of weights depending on the distance to the boundary of the domain. Our results also give some information on cases not covered by Seip's theory. Moreover, we obtain new criteria for weights to be essential.},
author = {Paweł Domański, Mikael Lindström},
journal = {Annales Polonici Mathematici},
keywords = {weighted Bergman spaces; interpolation; sampling; essential weight},
language = {eng},
number = {3},
pages = {233-264},
title = {Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions},
url = {http://eudml.org/doc/280768},
volume = {79},
year = {2002},
}

TY - JOUR
AU - Paweł Domański
AU - Mikael Lindström
TI - Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions
JO - Annales Polonici Mathematici
PY - 2002
VL - 79
IS - 3
SP - 233
EP - 264
AB - We give an elementary approach which allows us to evaluate Seip's conditions characterizing interpolating and sampling sequences in weighted Bergman spaces of infinite order for a wide class of weights depending on the distance to the boundary of the domain. Our results also give some information on cases not covered by Seip's theory. Moreover, we obtain new criteria for weights to be essential.
LA - eng
KW - weighted Bergman spaces; interpolation; sampling; essential weight
UR - http://eudml.org/doc/280768
ER -